SOLUTION: Here is the question: The only value of m for which the following system does not have a unique solution is: m = _______. s + mx = -7 -7s - 2x = -2 Moreover, for this va

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: Here is the question: The only value of m for which the following system does not have a unique solution is: m = _______. s + mx = -7 -7s - 2x = -2 Moreover, for this va      Log On

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Question 123928: Here is the question:
The only value of m for which the following system does not have a unique solution is: m = _______.
s + mx = -7
-7s - 2x = -2
Moreover, for this value of m the system of equations:
a. has infinitely many solutions
b. is inconsistent
I've tried to work this problem out but I can't figure it out.
Thanks!
Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!
Solve both equations for s:
s=-mx-7 and

s=-%282%2F7%29x%2B2%2F7

In order for there to be no unique solution, the slopes of the two lines must
be identical, that is m+=+-2%2F7. Since the intercept values are different,
the system is inconsistent, that is these are parallel lines that do not intersect.